Fundamental solution for a degenerate hyperbolic operator in Gevrey classes

DOI10.2977/PRIMS/1195168661zbMath0820.35155OpenAlexW2101953970MaRDI QIDQ1328875

Kenzo Shinkai, Kazuo Taniguchi

Publication date: 21 September 1995

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195168661

zbMATH Keywords

Gevrey wave frontinfinite order pseudo-differential operators acting on Gevrey ultra- distributions

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Fundamental solutions to PDEs (35A08) Degenerate hyperbolic equations (35L80) Pseudodifferential operators (47G30)

Related Items (5)

A fundamental solution for a degenerate hyperbolic operator of second order and fourier integral operators of complex phase ⋮ Strong hyperbolicity in Gevrey classes ⋮ Exponential function of pseudo-differential operators in Gevrey spaces ⋮ Some results on the well-posedness for systems with time dependent coefficients ⋮ On a sharp Levi condition in Gevrey classes for some infinitely degenerate hyperbolic equations and its necessity

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